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Distribution of Quantum Coherence in Multipartite Systems.

Chandrashekar Radhakrishnan1,2, Manikandan Parthasarathy3, Segar Jambulingam3

  • 1New York University, 1555 Century Avenue, Pudong, Shanghai 200122, China.

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This study introduces a new quantum coherence measure to analyze its distribution in complex quantum systems. Findings reveal trade-offs and shareability, defining monogamy relations for quantum coherence.

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Area of Science:

  • Quantum Information Science
  • Quantum Many-Body Physics

Background:

  • Understanding quantum coherence is crucial for quantum information processing.
  • Multipartite quantum systems exhibit complex coherence distributions.
  • Existing coherence measures lack metric properties for decomposition.

Purpose of the Study:

  • To introduce a novel, metric-based quantum coherence measure.
  • To analyze the distribution and shareability of coherence in multipartite systems.
  • To investigate coherence properties in specific quantum models like the XXZ Heisenberg model.

Main Methods:

  • Development of a new coherence measure based on quantum Jensen-Shannon divergence.
  • Utilizing metric properties for decomposing coherence into local and intrinsic parts.
  • Analysis of coherence distribution in bipartite and multipartite systems.

Main Results:

  • Identified trade-off relations between different coherence contributions.
  • Demonstrated complementary contributions of coherence in bipartite systems.
  • Observed a transition from monogamous to polygamous coherence in the XXZ Heisenberg model.

Conclusions:

  • The new measure provides a framework for quantifying coherence shareability.
  • Established monogamy relations for quantum coherence in multipartite systems.
  • Coherence distribution exhibits complex, parameter-dependent behavior in intricate quantum states.